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Cell[CellGroupData[{
Cell["Lecture 02", "Title",
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Cell["Summer 2001 ", "Text",
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Cell["Victor Adamchik", "Text",
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Cell["Symbolic Computations", "Section"],

Cell[TextData[{
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  " possibilities to do symbolic computations. The division into numerics and \
symbolics does not reflect the structure of ",
  StyleBox["Mathematica",
    FontSlant->"Italic"],
  ". Also, this division is not precise: in most cases the efficient \
numerical methods need symbolic techniques and vice versa."
}], "Text"],

Cell["Simple indefinite integration", "Text"],

Cell[BoxData[
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Cell["that can be verified by differentiation", "Text"],

Cell[BoxData[
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Cell["Multiple indefinite integration", "Text"],

Cell[BoxData[
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Cell["Here is the definite integral", "Text"],

Cell[BoxData[
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Cell["the improper integral", "Text"],

Cell[BoxData[
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Cell["that can be verified only numerically", "Text"],

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Cell["\<\
A system of nonlinear equations (exercise 3 from the previous lab)\
\>", "Text"],

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  " eliminates variables from a system of polynomial equations."
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Look up the explanations for the commands above in the help browser, and you \
will see that the following commands solve the stated problems. \
\>", "Text"],

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  " cannot find it. This is an example of solvable in radicals quintic:"
}], "Text"],

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Look up the explanations for the commands above in the help browser, and you \
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\>", "Text"],

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Cell[TextData[StyleBox["Exercise 3. ",
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Look up the explanations for the commands above in the help browser, and you \
will see that the following commands solve the stated problems. \
\>", "Text"],

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Cell[TextData[{
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digit sequence."
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Look up the explanations for the commands above in the help browser, and you \
will see that the following commands solve the stated problems. \
\>", "Text"],

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